Question

if x/y + y/x = -1,x≠0,y≠0,then find the value of X3 - y3​

Answer 1

$\dfrac{x}{y} + \dfrac{y}{x} = - 1$

$\dfrac{ {x}^{2} + {y}^{2} }{xy} = - 1$

${x}^{2} + {y}^{2} = - xy$

${x}^{2} + {y}^{2} + xy = 0$

Multiply Both Sides by $(x-y)$

$(x - y)( {x}^{2} + {y}^{2} + xy) = 0(x - y)$

${x}^{3} - {y}^{3} = 0$

Answer 2

Answer:

x3-y3=0

Step-by-step explanation:

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